Question

the sum of two numbers is 40.The smaller number is 8 less than the larger number.what are the numbers

Answer 1

x = 24
y - 16

Step-by-step explanation:

Answer 2

`\huge\boxed{\sf x = 16, \ y = 24}`

Explanation:

Let the smaller number be x and larger number be y.

Condition # 1:

x + y = 40 ----------------(1)

Condition # 2:

x = y - 8 ------------------(2)

Put Eq. (2) in (1)

y - 8 + y = 40

2y - 8 = 40

• Add 8 to both sides

2y = 40 + 8

2y = 48

• Divide both sides by 2

y = 48/2

y = 24

Put y = 24 in Eq. (2)

x = 24 - 8

x = 16

`\rule[225]{225}{2}`